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Poincaré recurrence theorem for non-smooth vector fields
(2017-04-01)
In this paper, some ergodic aspects of non-smooth vector fields are studied. More specifically, the concepts of recurrence and invariance of a measure by a flow are discussed, and two versions of the classical Poincaré ...
THE POINCARE-BENDIXSON THEOREM ON THE KLEIN BOTTLE FOR CONTINUOUS VECTOR FIELDS
(AMER INST MATHEMATICAL SCIENCES, 2009)
We present a version of the Poincare-Bendixson Theorem on the Klein bottle K(2) for continuous vector fields. As a consequence, we obtain the fact that K(2) does not admit continuous vector fields having a omega-recurrent ...
Poincare Recurrence Theorem For Non-smooth Vector Fields
(Springer Basel AGBasel, 2017)
Characteristic Times for the Fermi-Ulam Model
(2021-02-01)
The mean Poincaré recurrence time as well as the Lyapunov time are measured for the Fermi-Ulam model. It is confirmed that the mean recurrence time is dependent on the size of the window chosen in the phase space where ...
Entropia, reversibilidade, irreversibilidade, equação de transporte e teorema H de Boltzmann e o teorema do retorno de Poincaré
(Sociedade Brasileira de Física, 2008)
Neste trabalho analisamos as conexões entre entropia, reversibilidade, irreversibilidade, teorema H e equação de transporte de Boltzmann e o teorema de retorno de Poincaré. Estes tópicos são estudados separadamente em ...
On Poincaré-Bendixson theorem and non-trivial minimal sets in planar nonsmooth vector fields
(2018-01-01)
In this paper some qualitative and geometric aspects of nonsmooth vector felds theory are discussed. A Poincaré-Bendixson Theorem for a class of nonsmooth systems is presented. In addition, a minimal set in planar Filippov ...
Large deviations for short recurrence
(Amer Inst Mathematical SciencesSpringfieldEUA, 2008)
A generalization of poincares theorem for recurrence systems
(GORDON AND BREACH SCIENCE PUBLISHERS, 2006)